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Simplifying 21f + 3 = 2(6f + -3) + 18 Reorder the terms: 3 + 21f = 2(6f + -3) + 18 Reorder the terms: 3 + 21f = 2(-3 + 6f) + 18 3 + 21f = (-3 * 2 + 6f * 2) + 18 3 + 21f = (-6 + 12f) + 18 Reorder the terms: 3 + 21f = -6 + 18 + 12f Combine like terms: -6 + 18 = 12 3 + 21f = 12 + 12f Solving 3 + 21f = 12 + 12f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12f' to each side of the equation. 3 + 21f + -12f = 12 + 12f + -12f Combine like terms: 21f + -12f = 9f 3 + 9f = 12 + 12f + -12f Combine like terms: 12f + -12f = 0 3 + 9f = 12 + 0 3 + 9f = 12 Add '-3' to each side of the equation. 3 + -3 + 9f = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 9f = 12 + -3 9f = 12 + -3 Combine like terms: 12 + -3 = 9 9f = 9 Divide each side by '9'. f = 1 Simplifying f = 1
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